A New Method for Constructing the Inversion of Multivariable Linear Systems

Chinese Quarterly Journal of Mathematics ›› 2001, Vol. 16 ›› Issue (4): 18-24.

A New Method for Constructing the Inversion of Multivariable Linear Systems

国防科学技术大学数学系国防科学技术大学数学系湖南长沙410073

Received:1998-03-03 Online:2001-12-30 Published:2024-05-24
About author:ZHANG Xin-jian（1956－）,male,native of Xinshao,Hunan,an associate professor of National University of Defense Technology,engages in numerical analysissystems and control theory．

Abstract

Abstract: 对多变量线性系统 ,本文给出了求其逆向系统的一种新方法 ,这种方法将逆向系统计算中高阶矩阵的求逆转化为通过初等变换求低阶矩阵的规范型 ,比以往的方法更加简单、有效且易于编程计算。本文结合原系统的可观测空间与不可观测空间的情况 ,给出了一种特定的等价变换 ,得到了比通常更低阶的逆向系统.

Key words: , 多变量线性系统, 逆向系统, 正交分解,

CLC Number:

O231

ZHANG Xin-jian, TONG Li. A New Method for Constructing the Inversion of Multivariable Linear Systems[J]. Chinese Quarterly Journal of Mathematics, 2001, 16(4): 18-24.

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A New Method for Constructing the Inversion of Multivariable Linear Systems

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